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2155140330240 = 28355503101987
BaseRepresentation
bin11111010111001000010…
…111111011001100000000
321122000210102202012022010
4133113020113323030000
5240302211411031430
64330020252412520
7311463246360612
oct37271027731400
97560712665263
102155140330240
11760a98594147
122a9820177140
131282c8a66b51
1476448bd0db2
153b0d7ed2cb0
hex1f5c85fb300

2155140330240 has 144 divisors (see below), whose sum is σ = 6884297699328. Its totient is φ = 574594019328.

The previous prime is 2155140330197. The next prime is 2155140330257. The reversal of 2155140330240 is 420330415512.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2155140330198 and 2155140330207.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21080527 + ... + 21182513.

It is an arithmetic number, because the mean of its divisors is an integer number (47807622912).

Almost surely, 22155140330240 is an apocalyptic number.

2155140330240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2155140330240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3442148849664).

2155140330240 is an abundant number, since it is smaller than the sum of its proper divisors (4729157369088).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2155140330240 is a wasteful number, since it uses less digits than its factorization.

2155140330240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107514 (or 107500 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

Adding to 2155140330240 its reverse (420330415512), we get a palindrome (2575470745752).

The spelling of 2155140330240 in words is "two trillion, one hundred fifty-five billion, one hundred forty million, three hundred thirty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 640 768 960 1280 1920 3840 5503 11006 16509 22012 27515 33018 44024 55030 66036 82545 88048 101987 110060 132072 165090 176096 203974 220120 264144 305961 330180 352192 407948 440240 509935 528288 611922 660360 704384 815896 880480 1019870 1056576 1223844 1320720 1408768 1529805 1631792 1760960 2039740 2113152 2447688 2641440 3059610 3263584 3521920 4079480 4226304 4895376 5282880 6119220 6527168 7043840 8158960 9790752 10565760 12238440 13054336 16317920 19581504 21131520 24476880 26108672 32635840 39163008 48953760 65271680 78326016 97907520 130543360 195815040 391630080 561234461 1122468922 1683703383 2244937844 2806172305 3367406766 4489875688 5612344610 6734813532 8418516915 8979751376 11224689220 13469627064 16837033830 17959502752 22449378440 26939254128 33674067660 35919005504 44898756880 53878508256 67348135320 71838011008 89797513760 107757016512 134696270640 143676022016 179595027520 215514033024 269392541280 359190055040 431028066048 538785082560 718380110080 1077570165120 2155140330240